Model Analysis of Plane Structures
The Commonwealth and International Library: Structures and Solid Body Mechanics Division
Published on 22. October 2013
122 pages
978-1-4831-3811-4 (ISBN)
Description
Model Analysis of Plane Structures deals with simple techniques of analysis plane structures with the aid of scale models. Model analysis of the kind considered herein is a means of replacing the numerical work of formal structural analysis by mechanical operations. It utilizes the same assumptions as formal analysis and offers nothing more in the end-product, but the user gains unique insight into structural behavior. The book begins with a discussion of early approaches to systematic model analysis and the limitations and accuracy of model analysis. This is followed by separate chapters on the approach to flexural similarity, which consists essentially of determining directly the conditions for the properties of deformation of two geometrically similar structures to be similar; the theory of indirect model analysis; and models of frame networks. The final two chapters deal with the use of models for indirect analysis and direct analysis, respectively; these conclude with sample problems to enable readers to test their understanding of the subject matter.
More details
Other editions
Additional editions
T. M. Charlton
Model Analysis of Plane Structures
Book
02/1966
Pergamon
€4.03
Article exhausted; check different version
Content
Preface1. Introduction to Model Analysis Early Approaches to Systematic Model Analysis Beggs's Apparatus Gottschalk's Apparatus - "The Continostat" Rieckhof's Apparatus - "The Nupubest" Limitations and Accuracy of Model Analysis2. Similarity of Structures General Expression for the Deflection of a Structure Conditions for Flexural Similarity Theory of Dimensions and Similarity Dimensional Analysis of Beam Flexure: Flexural Similarity Relationships Between Model and Prototype Quantities3. Theory of Model Analysis Influence Lines for Forces: Müller-Breslau's Principle Justification of Müller-Breslau's Principle The Reciprocal Theorem and Müller-Breslau's Principle Betti's Theorem Müller-Breslau's Principle by the Concept of Flexibility Coefficients Müller-Breslau's Principle by Direct Application of Betti's Theorem Influence Lines for Deflection Members in Bending and Treatment of Loading in Relation to Model Analysis Slope-Deflection Relationships Treatment of Loads on Beams in Structures4. Models of Plane Frameworks Nature of Models General Design of Models Design of Models of Portal Frames Design of Models of Trusses Model Materials Xylonite-celluloid, Bakelite and Perspex Metal Cardboard Manufacture of Models Mounting of Models Introduction of Displacements at Supports Introduction of Internal Displacements Design of Internal Joints and Flexible Elements Typical Models of Rigidly Jointed Frameworks Power Station Building Frame Vierendeel Girder5. Use of Models for Indirect Analysis Influence Lines for Reactions Internal Forces and Moments Treatment of Distributed Loads The Large Displacement Technique Checking of Model Results Examples of Calculations Relating to Model Tests Problems6. Use of Models for Direct Analysis Loading of Models-The Compensating Balance Interpretation of Compensating Balance Readings-The Concept of the "Prototype Balance" Influence Lines for Deflection The Moment Indicator for Portal Frames Interpretation of Moment Indicator Results for the Prototype The Moment Deformeter Coker's Method for Direct Measurement of Model Strains ProblemsAppendix I BibliographyAppendix II The Principle of Virtual Work Applied to FrameworksAppendix III Verification of Analysis of Portal Frameworks
